What is the 9992nd prime number?
The 9992nd prime number is 104681. The next prime is 104683 (a gap of 2) and the one before is 104677.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9992nd one is 104681.
- 2
104681 is prime because no prime up to ā104681 ā 323.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9992nd prime is close to 9992 Ć ln(9992) ā 92022, and here it is 104681.
- 4
104681 is a twin prime: 104681 and 104683 are both prime.
Primes around the 9992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9989 | 104651 | 12 |
| 9990 | 104659 | 8 |
| 9991 | 104677 | 18 |
| 9992 | 104681 | 4 |
| 9993 | 104683 | 2 |
| 9994 | 104693 | 10 |
| 9995 | 104701 | 8 |
Questions
What is the 9992nd prime number?
104681.
Which prime number is 104681?
104681 is the 9992nd prime number.
What is the sum of the first 9992 primes?
495,327,747.